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Finding the Third Proportional to 30,579 and 62,454

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Solution

The third proportional to 30,579 and 62,454 is: 127,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579 : 62,454 = 62,454 : x
  2. Step 2: Convert to fraction form
    30,579/62,454 = 62,454/x
  3. Step 3: Cross multiply
    30,579x = 62,454 × 62,454
  4. Step 4: Simplify right side
    30,579x = 3,900,502,116
  5. Step 5: Solve for x
    x = 3,900,502,116/30,579
  6. Step 6: Final answer
    x = 127,554.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.